All categories

3 years ago

Please help I keep getting it wrong and I can't move on to the next part! You need to look at both pictures to answer this.

Mathematics

1 answer:

KIM [24]3 years ago

8 0

Explanation:

3. ∠2 and ∠3 are a linear pair → definition of a linear pair

4. ∠3 and ∠4 are a linear pair → definition of a linear pair

5. m∠2 +m∠3 = 180° → definition of a linear pair (or angle addition postulate)

6. m∠3 +m∠4 = 180° → definition of a linear pair (or angle addition postulate)

7. m∠2 +m∠3 = m∠3 +m∠4 → substitution property

8. m∠2 = m∠4 → subtraction property

9. ∠2 ≅ ∠4 → definition of congruent angles

_____

A pair of angles is a "linear pair" if they are adjacent and supplementary. ∠2 and ∠3 are adjacent and the non-common legs form a straight line. It isn't clear what your definition of linear pair is and what you need to do to claim that the angles sum to 180°. Above, we have assumed a definition of "linear pair" that includes the facts that → they sum to 180°; → non-adjacent sides form a straight line.

You might be interested in

Three populations have proportions 0.1, 0.3, and 0.5. We select random samples of the size n from these populations. Only two of

IRINA_888 [86]

Answer:

(1) A Normal approximation to binomial can be applied for population 1, if n = 100.

(2) A Normal approximation to binomial can be applied for population 2, if n = 100, 50 and 40.

(3) A Normal approximation to binomial can be applied for population 2, if n = 100, 50, 40 and 20.

Step-by-step explanation:

Consider a random variable X following a Binomial distribution with parameters n and p.

If the sample selected is too large and the probability of success is close to 0.50 a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

np ≥ 10
n(1 - p) ≥ 10

The three populations has the following proportions:

p₁ = 0.10

p₂ = 0.30

p₃ = 0.50

(1)

Check the Normal approximation conditions for population 1, for all the provided n as follows:

$n_{a}p_{1}=10\times 0.10=1$

Thus, a Normal approximation to binomial can be applied for population 1, if n = 100.

(2)

Check the Normal approximation conditions for population 2, for all the provided n as follows:

$n_{a}p_{1}=10\times 0.30=310\\\\n_{c}p_{1}=50\times 0.30=15>10\\\\n_{d}p_{1}=40\times 0.10=12>10\\\\n_{e}p_{1}=20\times 0.10=6$

Thus, a Normal approximation to binomial can be applied for population 2, if n = 100, 50 and 40.

(3)

Check the Normal approximation conditions for population 3, for all the provided n as follows:

$n_{a}p_{1}=10\times 0.50=510\\\\n_{c}p_{1}=50\times 0.50=25>10\\\\n_{d}p_{1}=40\times 0.50=20>10\\\\n_{e}p_{1}=20\times 0.10=10=10$

Thus, a Normal approximation to binomial can be applied for population 2, if n = 100, 50, 40 and 20.

8 0

3 years ago

A window in Michael's room is the shape of a trapezoid. The bases are 30 inches and 40 inches. The height of the window is 24 in

lana [24]

Answer:

The area of the window is of 840 square inches.

Step-by-step explanation:

To find the area of an trapezoid, we need to add the sum of the bases, multiply by the height, and then divide by 2.

Matematically:

$A = \frac{(b_{1} + b_{2})*h}{2}$

In which $b_{1}$ and $b_{2}$ are the bases and h is the height.

In this question:

$b_{1} = 30, b_{2} = 40, h = 24$

All the measures in inches, so the area is in square inches.

$A = \frac{(30 + 40)*24}{2} = 840$

The area of the window is of 840 square inches.

3 0

3 years ago

12x0.08 what is the anwer pls

sergij07 [2.7K]

Answer:

0.96

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Write a problem situation to match the inequality: x divided by 4 less than or equal to 5

Paha777 [63]

Answer:

yes it is ill explain

Step-by-step explanation:Find the student's error in solving the following inequality.31 < -5x + 625 < -5x-5 < x

The student should have added 6 to both sides instead of subtracting it.

The student divided 25/-5 incorrectly.

The student should have switched the direction of the inequality sign to get -5> x for a final answer.

Find the student's error in solving the following inequality.2 < -3x -4 < 56 < -3x < 5-2 > x > -5/3

The student should have added 4 to all parts (left, middle, and right) to get 6 < -3x < 9.

The student divided 6/-3 incorrectly.

The student should not have switched the direction of the sign in the final step.

The student should have added 4 to all parts (left, middle, and right) to get 6 < -3x < 9.

Which answer choice is a solution to the inequality ?

-1

1.5

Identify the property used in each step of solving the inequality .

Step 2: Addition property

Step 3: Multiplication property

Which numbers are solutions to the inequality 2x - 1 > x + 2? Check all of the boxes that apply.

4, 5

If x < 5 and x > c, give a value of c such that there are no solutions to the compound inequality. Explain why there are no solutions

Sample response: The value of c could be 5 or any number greater than 5.

The solution is the intersection of both solution sets of the given inequalities.

The solutions of the compound inequality must be solutions of both inequalities.

A number cannot be both less than 5 and greater than 5 at the same time.

Identify the graph of the inequality 2(2x - 1) + 7 < 13 or -2x + 5 -10.

Briyana has $150, and she needs to save at least $560 for a spring break trip. If she can save $45 per week, how long will it take her to save enough money?Let w = weeks saving money. Write an inequality to describe the situation.

45w + 150 560

What is the fewest number of full weeks Briyana would have to work to have enough money?

10 weeks

Three times two less than a number is greater than or equal to five times the number. Find all of the numbers that satisfy the given conditions.Let n = a number. Choose the inequality that represents the given relationship.

3(n - 2) Greater than symbol5n

Which of the following is the solution set of the problem?

(-infinite symbol , -3]

OTRAS UNIDADES DE ESTE CREADOR

Modeling with Systems / Instruction

6 términos

Imagen de perfil

Vman6969

Unit Test

25 términos

Imagen de perfil

Vman6969

Unit Test / Unit Test Review

15 términos

Imagen de perfil

Vman6969

Solving One-Variable Equations with Systems /…

10 términos

Imagen de perfil

Vman6969

Eliminar la publicidad

Solo $2.99/mes

Temas

Artes y letras

Ciencia

Ciencias sociales

Idiomas

Matemáticas

Otros

Funciones de Quizlet

Quizlet Live

Modo Aprender

Diagramas

Fichas

Móvil

Suscripciones

Ayuda

Centro de ayuda

Código de honor

Directrices de Comunidad

Maestros

Información

Empresa

Blog

Prensa

Empleo

Anunciar en Quizlet

Política de Privacidad

Política sobre publicidad y cookies

Condiciones

Idioma

Español

8 0

3 years ago

Read 2 more answers

Solve pls brainliest

Goshia [24]

Answer:

4.5341 < 6.9 < 6.906 < 6.96

Step-by-step explanation:

4.5341 is closer to 0 than 6.96 is.

8 0

3 years ago